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4668005480 = 2352361223373
BaseRepresentation
bin1000101100011110…
…00001110001101000
3110001022200020200212
410112033001301220
534030002133410
62051111320252
7223451251265
oct42617016150
913038606625
104668005480
111a85a70676
12aa3380088
1359513b028
14323d6026c
151c4c27b05
hex1163c1c68

4668005480 has 128 divisors (see below), whose sum is σ = 11219281920. Its totient is φ = 1744174080.

The previous prime is 4668005471. The next prime is 4668005491. The reversal of 4668005480 is 845008664.

It is a super-2 number, since 2×46680054802 = 43580550322620060800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12514574 + ... + 12514946.

It is an arithmetic number, because the mean of its divisors is an integer number (87650640).

Almost surely, 24668005480 is an apocalyptic number.

4668005480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668005480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609640960).

4668005480 is an abundant number, since it is smaller than the sum of its proper divisors (6551276440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4668005480 is a wasteful number, since it uses less digits than its factorization.

4668005480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 4668005480 is about 68322.8035139074. The cubic root of 4668005480 is about 1671.2591028065.

The spelling of 4668005480 in words is "four billion, six hundred sixty-eight million, five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 223 230 244 305 373 446 460 488 610 746 892 920 1115 1220 1403 1492 1784 1865 2230 2440 2806 2984 3730 4460 5129 5612 7015 7460 8579 8920 10258 11224 13603 14030 14920 17158 20516 22753 25645 27206 28060 34316 41032 42895 45506 51290 54412 56120 68015 68632 83179 85790 91012 102580 108824 113765 136030 166358 171580 182024 205160 227530 272060 312869 332716 343160 415895 455060 523319 544120 625738 665432 831790 910120 1046638 1251476 1564345 1663580 1913117 2093276 2502952 2616595 3128690 3327160 3826234 4186552 5073919 5233190 6257380 7652468 9565585 10147838 10466380 12514760 15304936 19131170 20295676 20932760 25369595 38262340 40591352 50739190 76524680 101478380 116700137 202956760 233400274 466800548 583500685 933601096 1167001370 2334002740 4668005480